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Theorems · Theorem · nonassociative algebras

LieEquiv.lieSubalgebraMap_apply

∀ {R : Type u} {L₁ : Type v} {L₂ : Type w} [inst : CommRing R] [inst_1 : LieRing L₁] [inst_2 : LieRing L₂]
  [inst_3 : LieAlgebra R L₁] [inst_4 : LieAlgebra R L₂] (L₁'' : LieSubalgebra R L₁) (e : L₁ ≃ₗ⁅R⁆ L₂) (x : ↥L₁''),
  ↑((LieEquiv.lieSubalgebraMap L₁'' e) x) = e ↑x
Defined in
Mathlib.Algebra.Lie.Subalgebra
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Foundations
Depth 33 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieRingLieAlgebraLieAlgebra
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DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieEquiv · cited by 86LieEquivLieEquiv.toLieHom · cited by 15LieEquiv.toLieHomLieSubalgebra.map · cited by 14LieSubalgebra.mapLieEquiv.lieSubalgebraMap · cited by 1LieEquiv.lieSubalgebraMapLieEquiv.lieSubalgebraMap_app…CITED BYCITES

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